12667207680 has 600 divisors, whose sum is σ = 47958305472. Its totient is φ = 3192127488.

The previous prime is 12667207661. The next prime is 12667207687. The reversal of 12667207680 is 8670276621.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12667207687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152616919 + ... + 152617001.

Almost surely, 2^12667207680 is an apocalyptic number.

12667207680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12667207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23979152736).

12667207680 is an abundant number, since it is smaller than the sum of its proper divisors (35291097792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12667207680 is an frugal number, since it uses more digits than its factorization.

12667207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12667207680 in words is "twelve billion, six hundred sixty-seven million, two hundred seven thousand, six hundred eighty".